Finding the Fourth Proportional to 6,156.65, 8,498.04 and 3,638.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,156.65 : 8,498.04 = 3,638.63 : x
2. Step 2: Convert to fraction form
   6,156.65/8,498.04 = 3,638.63/x
3. Step 3: Cross multiply
   6,156.65x = 8,498.04 × 3,638.63
4. Step 4: Simplify right side
   6,156.65x = 30,921,223.29
5. Step 5: Solve for x
   x = 30,921,223.29/6,156.65
6. Step 6: Final answer
   x = 5,022.41